Finding the Third Proportional to 42,114 and 93,570

Step by Step Solution

1. Step 1: Write the proportion equation
   42,114 : 93,570 = 93,570 : x
2. Step 2: Convert to fraction form
   42,114/93,570 = 93,570/x
3. Step 3: Cross multiply
   42,114x = 93,570 × 93,570
4. Step 4: Simplify right side
   42,114x = 8,755,344,900
5. Step 5: Solve for x
   x = 8,755,344,900/42,114
6. Step 6: Final answer
   x = 207,896.30