Finding the Third Proportional to 42,375 and 94,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,375 : 94,042.50 = 94,042.50 : x
2. Step 2: Convert to fraction form
   42,375/94,042.50 = 94,042.50/x
3. Step 3: Cross multiply
   42,375x = 94,042.50 × 94,042.50
4. Step 4: Simplify right side
   42,375x = 8,843,991,806.25
5. Step 5: Solve for x
   x = 8,843,991,806.25/42,375
6. Step 6: Final answer
   x = 208,707.77