Finding the Third Proportional to 77,564 and 116,996

Step by Step Solution

1. Step 1: Write the proportion equation
   77,564 : 116,996 = 116,996 : x
2. Step 2: Convert to fraction form
   77,564/116,996 = 116,996/x
3. Step 3: Cross multiply
   77,564x = 116,996 × 116,996
4. Step 4: Simplify right side
   77,564x = 13,688,064,016
5. Step 5: Solve for x
   x = 13,688,064,016/77,564
6. Step 6: Final answer
   x = 176,474.45