Finding the Third Proportional to 42,413 and 88,314

Step by Step Solution

1. Step 1: Write the proportion equation
   42,413 : 88,314 = 88,314 : x
2. Step 2: Convert to fraction form
   42,413/88,314 = 88,314/x
3. Step 3: Cross multiply
   42,413x = 88,314 × 88,314
4. Step 4: Simplify right side
   42,413x = 7,799,362,596
5. Step 5: Solve for x
   x = 7,799,362,596/42,413
6. Step 6: Final answer
   x = 183,890.85