Finding the Third Proportional to 97,461 and 142,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,461 : 142,732.50 = 142,732.50 : x
2. Step 2: Convert to fraction form
   97,461/142,732.50 = 142,732.50/x
3. Step 3: Cross multiply
   97,461x = 142,732.50 × 142,732.50
4. Step 4: Simplify right side
   97,461x = 20,372,566,556.25
5. Step 5: Solve for x
   x = 20,372,566,556.25/97,461
6. Step 6: Final answer
   x = 209,033.01