Finding the Third Proportional to 182,152.50 and 275,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,152.50 : 275,773.50 = 275,773.50 : x
2. Step 2: Convert to fraction form
   182,152.50/275,773.50 = 275,773.50/x
3. Step 3: Cross multiply
   182,152.50x = 275,773.50 × 275,773.50
4. Step 4: Simplify right side
   182,152.50x = 76,051,023,302.25
5. Step 5: Solve for x
   x = 76,051,023,302.25/182,152.50
6. Step 6: Final answer
   x = 417,512.93