Finding the Third Proportional to 77,924 and 116,884

Step by Step Solution

1. Step 1: Write the proportion equation
   77,924 : 116,884 = 116,884 : x
2. Step 2: Convert to fraction form
   77,924/116,884 = 116,884/x
3. Step 3: Cross multiply
   77,924x = 116,884 × 116,884
4. Step 4: Simplify right side
   77,924x = 13,661,869,456
5. Step 5: Solve for x
   x = 13,661,869,456/77,924
6. Step 6: Final answer
   x = 175,323.00