Finding the Third Proportional to 42,156 and 88,209

Step by Step Solution

1. Step 1: Write the proportion equation
   42,156 : 88,209 = 88,209 : x
2. Step 2: Convert to fraction form
   42,156/88,209 = 88,209/x
3. Step 3: Cross multiply
   42,156x = 88,209 × 88,209
4. Step 4: Simplify right side
   42,156x = 7,780,827,681
5. Step 5: Solve for x
   x = 7,780,827,681/42,156
6. Step 6: Final answer
   x = 184,572.25