Finding the Third Proportional to 71,577 and 97,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,577 : 97,159.50 = 97,159.50 : x
2. Step 2: Convert to fraction form
   71,577/97,159.50 = 97,159.50/x
3. Step 3: Cross multiply
   71,577x = 97,159.50 × 97,159.50
4. Step 4: Simplify right side
   71,577x = 9,439,968,440.25
5. Step 5: Solve for x
   x = 9,439,968,440.25/71,577
6. Step 6: Final answer
   x = 131,885.50