Finding the Third Proportional to 77,658 and 116,364

Step by Step Solution

1. Step 1: Write the proportion equation
   77,658 : 116,364 = 116,364 : x
2. Step 2: Convert to fraction form
   77,658/116,364 = 116,364/x
3. Step 3: Cross multiply
   77,658x = 116,364 × 116,364
4. Step 4: Simplify right side
   77,658x = 13,540,580,496
5. Step 5: Solve for x
   x = 13,540,580,496/77,658
6. Step 6: Final answer
   x = 174,361.69