Finding the Third Proportional to 77,112 and 116,964

Step by Step Solution

1. Step 1: Write the proportion equation
   77,112 : 116,964 = 116,964 : x
2. Step 2: Convert to fraction form
   77,112/116,964 = 116,964/x
3. Step 3: Cross multiply
   77,112x = 116,964 × 116,964
4. Step 4: Simplify right side
   77,112x = 13,680,577,296
5. Step 5: Solve for x
   x = 13,680,577,296/77,112
6. Step 6: Final answer
   x = 177,411.78