Finding the Third Proportional to 77,208 and 116,632

Step by Step Solution

1. Step 1: Write the proportion equation
   77,208 : 116,632 = 116,632 : x
2. Step 2: Convert to fraction form
   77,208/116,632 = 116,632/x
3. Step 3: Cross multiply
   77,208x = 116,632 × 116,632
4. Step 4: Simplify right side
   77,208x = 13,603,023,424
5. Step 5: Solve for x
   x = 13,603,023,424/77,208
6. Step 6: Final answer
   x = 176,186.71