Finding the Third Proportional to 76,476 and 116,658

Step by Step Solution

1. Step 1: Write the proportion equation
   76,476 : 116,658 = 116,658 : x
2. Step 2: Convert to fraction form
   76,476/116,658 = 116,658/x
3. Step 3: Cross multiply
   76,476x = 116,658 × 116,658
4. Step 4: Simplify right side
   76,476x = 13,609,088,964
5. Step 5: Solve for x
   x = 13,609,088,964/76,476
6. Step 6: Final answer
   x = 177,952.42