Finding the Third Proportional to 53,625 and 116,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,625 : 116,587.50 = 116,587.50 : x
2. Step 2: Convert to fraction form
   53,625/116,587.50 = 116,587.50/x
3. Step 3: Cross multiply
   53,625x = 116,587.50 × 116,587.50
4. Step 4: Simplify right side
   53,625x = 13,592,645,156.25
5. Step 5: Solve for x
   x = 13,592,645,156.25/53,625
6. Step 6: Final answer
   x = 253,475.90