Finding the Third Proportional to 42,534 and 88,566

Step by Step Solution

1. Step 1: Write the proportion equation
   42,534 : 88,566 = 88,566 : x
2. Step 2: Convert to fraction form
   42,534/88,566 = 88,566/x
3. Step 3: Cross multiply
   42,534x = 88,566 × 88,566
4. Step 4: Simplify right side
   42,534x = 7,843,936,356
5. Step 5: Solve for x
   x = 7,843,936,356/42,534
6. Step 6: Final answer
   x = 184,415.68