Finding the Third Proportional to 42,585.75 and 88,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,585.75 : 88,663.50 = 88,663.50 : x
2. Step 2: Convert to fraction form
   42,585.75/88,663.50 = 88,663.50/x
3. Step 3: Cross multiply
   42,585.75x = 88,663.50 × 88,663.50
4. Step 4: Simplify right side
   42,585.75x = 7,861,216,232.25
5. Step 5: Solve for x
   x = 7,861,216,232.25/42,585.75
6. Step 6: Final answer
   x = 184,597.34