Finding the Third Proportional to 42,592.50 and 92,643.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,592.50 : 92,643.75 = 92,643.75 : x
2. Step 2: Convert to fraction form
   42,592.50/92,643.75 = 92,643.75/x
3. Step 3: Cross multiply
   42,592.50x = 92,643.75 × 92,643.75
4. Step 4: Simplify right side
   42,592.50x = 8,582,864,414.06
5. Step 5: Solve for x
   x = 8,582,864,414.06/42,592.50
6. Step 6: Final answer
   x = 201,511.17