Finding the Third Proportional to 77,222 and 116,661

Step by Step Solution

1. Step 1: Write the proportion equation
   77,222 : 116,661 = 116,661 : x
2. Step 2: Convert to fraction form
   77,222/116,661 = 116,661/x
3. Step 3: Cross multiply
   77,222x = 116,661 × 116,661
4. Step 4: Simplify right side
   77,222x = 13,609,788,921
5. Step 5: Solve for x
   x = 13,609,788,921/77,222
6. Step 6: Final answer
   x = 176,242.38