Finding the Third Proportional to 103,300 and 157,008

Step by Step Solution

1. Step 1: Write the proportion equation
   103,300 : 157,008 = 157,008 : x
2. Step 2: Convert to fraction form
   103,300/157,008 = 157,008/x
3. Step 3: Cross multiply
   103,300x = 157,008 × 157,008
4. Step 4: Simplify right side
   103,300x = 24,651,512,064
5. Step 5: Solve for x
   x = 24,651,512,064/103,300
6. Step 6: Final answer
   x = 238,640.00