Finding the Third Proportional to 71,507 and 157,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,507 : 157,017.50 = 157,017.50 : x
2. Step 2: Convert to fraction form
   71,507/157,017.50 = 157,017.50/x
3. Step 3: Cross multiply
   71,507x = 157,017.50 × 157,017.50
4. Step 4: Simplify right side
   71,507x = 24,654,495,306.25
5. Step 5: Solve for x
   x = 24,654,495,306.25/71,507
6. Step 6: Final answer
   x = 344,784.36