Finding the Third Proportional to 77,710 and 116,084

Step by Step Solution

1. Step 1: Write the proportion equation
   77,710 : 116,084 = 116,084 : x
2. Step 2: Convert to fraction form
   77,710/116,084 = 116,084/x
3. Step 3: Cross multiply
   77,710x = 116,084 × 116,084
4. Step 4: Simplify right side
   77,710x = 13,475,495,056
5. Step 5: Solve for x
   x = 13,475,495,056/77,710
6. Step 6: Final answer
   x = 173,407.48