Finding the Third Proportional to 108,385.50 and 172,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,385.50 : 172,612.50 = 172,612.50 : x
2. Step 2: Convert to fraction form
   108,385.50/172,612.50 = 172,612.50/x
3. Step 3: Cross multiply
   108,385.50x = 172,612.50 × 172,612.50
4. Step 4: Simplify right side
   108,385.50x = 29,795,075,156.25
5. Step 5: Solve for x
   x = 29,795,075,156.25/108,385.50
6. Step 6: Final answer
   x = 274,899.09