Finding the Third Proportional to 43,074 and 94,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,074 : 94,387.50 = 94,387.50 : x
2. Step 2: Convert to fraction form
   43,074/94,387.50 = 94,387.50/x
3. Step 3: Cross multiply
   43,074x = 94,387.50 × 94,387.50
4. Step 4: Simplify right side
   43,074x = 8,909,000,156.25
5. Step 5: Solve for x
   x = 8,909,000,156.25/43,074
6. Step 6: Final answer
   x = 206,830.11