Finding the Third Proportional to 77,730 and 114,042

Step by Step Solution

1. Step 1: Write the proportion equation
   77,730 : 114,042 = 114,042 : x
2. Step 2: Convert to fraction form
   77,730/114,042 = 114,042/x
3. Step 3: Cross multiply
   77,730x = 114,042 × 114,042
4. Step 4: Simplify right side
   77,730x = 13,005,577,764
5. Step 5: Solve for x
   x = 13,005,577,764/77,730
6. Step 6: Final answer
   x = 167,317.35