Finding the Third Proportional to 42,646.50 and 90,213.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,646.50 : 90,213.75 = 90,213.75 : x
2. Step 2: Convert to fraction form
   42,646.50/90,213.75 = 90,213.75/x
3. Step 3: Cross multiply
   42,646.50x = 90,213.75 × 90,213.75
4. Step 4: Simplify right side
   42,646.50x = 8,138,520,689.06
5. Step 5: Solve for x
   x = 8,138,520,689.06/42,646.50
6. Step 6: Final answer
   x = 190,836.78