Finding the Third Proportional to 83,835 and 177,055.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83,835 : 177,055.88 = 177,055.88 : x
2. Step 2: Convert to fraction form
   83,835/177,055.88 = 177,055.88/x
3. Step 3: Cross multiply
   83,835x = 177,055.88 × 177,055.88
4. Step 4: Simplify right side
   83,835x = 31,348,782,872.02
5. Step 5: Solve for x
   x = 31,348,782,872.02/83,835
6. Step 6: Final answer
   x = 373,934.31