Finding the Third Proportional to 42,156 and 88,206.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,156 : 88,206.75 = 88,206.75 : x
2. Step 2: Convert to fraction form
   42,156/88,206.75 = 88,206.75/x
3. Step 3: Cross multiply
   42,156x = 88,206.75 × 88,206.75
4. Step 4: Simplify right side
   42,156x = 7,780,430,745.56
5. Step 5: Solve for x
   x = 7,780,430,745.56/42,156
6. Step 6: Final answer
   x = 184,562.83