Finding the Third Proportional to 88,178 and 132,468

Step by Step Solution

1. Step 1: Write the proportion equation
   88,178 : 132,468 = 132,468 : x
2. Step 2: Convert to fraction form
   88,178/132,468 = 132,468/x
3. Step 3: Cross multiply
   88,178x = 132,468 × 132,468
4. Step 4: Simplify right side
   88,178x = 17,547,771,024
5. Step 5: Solve for x
   x = 17,547,771,024/88,178
6. Step 6: Final answer
   x = 199,003.96