Finding the Third Proportional to 108,561 and 172,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,561 : 172,312.50 = 172,312.50 : x
2. Step 2: Convert to fraction form
   108,561/172,312.50 = 172,312.50/x
3. Step 3: Cross multiply
   108,561x = 172,312.50 × 172,312.50
4. Step 4: Simplify right side
   108,561x = 29,691,597,656.25
5. Step 5: Solve for x
   x = 29,691,597,656.25/108,561
6. Step 6: Final answer
   x = 273,501.51