Finding the Third Proportional to 42,457.50 and 92,283.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,457.50 : 92,283.75 = 92,283.75 : x
2. Step 2: Convert to fraction form
   42,457.50/92,283.75 = 92,283.75/x
3. Step 3: Cross multiply
   42,457.50x = 92,283.75 × 92,283.75
4. Step 4: Simplify right side
   42,457.50x = 8,516,290,514.06
5. Step 5: Solve for x
   x = 8,516,290,514.06/42,457.50
6. Step 6: Final answer
   x = 200,583.89