Finding the Third Proportional to 53,331 and 123,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,331 : 123,463.50 = 123,463.50 : x
2. Step 2: Convert to fraction form
   53,331/123,463.50 = 123,463.50/x
3. Step 3: Cross multiply
   53,331x = 123,463.50 × 123,463.50
4. Step 4: Simplify right side
   53,331x = 15,243,235,832.25
5. Step 5: Solve for x
   x = 15,243,235,832.25/53,331
6. Step 6: Final answer
   x = 285,823.18