Finding the Third Proportional to 69,343 and 152,210

Step by Step Solution

1. Step 1: Write the proportion equation
   69,343 : 152,210 = 152,210 : x
2. Step 2: Convert to fraction form
   69,343/152,210 = 152,210/x
3. Step 3: Cross multiply
   69,343x = 152,210 × 152,210
4. Step 4: Simplify right side
   69,343x = 23,167,884,100
5. Step 5: Solve for x
   x = 23,167,884,100/69,343
6. Step 6: Final answer
   x = 334,105.59