Finding the Third Proportional to 77,213 and 116,005

Step by Step Solution

1. Step 1: Write the proportion equation
   77,213 : 116,005 = 116,005 : x
2. Step 2: Convert to fraction form
   77,213/116,005 = 116,005/x
3. Step 3: Cross multiply
   77,213x = 116,005 × 116,005
4. Step 4: Simplify right side
   77,213x = 13,457,160,025
5. Step 5: Solve for x
   x = 13,457,160,025/77,213
6. Step 6: Final answer
   x = 174,286.20