Finding the Third Proportional to 77,506 and 116,828

Step by Step Solution

1. Step 1: Write the proportion equation
   77,506 : 116,828 = 116,828 : x
2. Step 2: Convert to fraction form
   77,506/116,828 = 116,828/x
3. Step 3: Cross multiply
   77,506x = 116,828 × 116,828
4. Step 4: Simplify right side
   77,506x = 13,648,781,584
5. Step 5: Solve for x
   x = 13,648,781,584/77,506
6. Step 6: Final answer
   x = 176,099.68