Finding the Third Proportional to 153,854,726,547 and 334,194,670,662

Step by Step Solution

1. Step 1: Write the proportion equation
   153,854,726,547 : 334,194,670,662 = 334,194,670,662 : x
2. Step 2: Convert to fraction form
   153,854,726,547/334,194,670,662 = 334,194,670,662/x
3. Step 3: Cross multiply
   153,854,726,547x = 334,194,670,662 × 334,194,670,662
4. Step 4: Simplify right side
   153,854,726,547x = 111,686,077,898,882,648,375,296
5. Step 5: Solve for x
   x = 111,686,077,898,882,648,375,296/153,854,726,547
6. Step 6: Final answer
   x = 725,919,056,277.84