Finding the Third Proportional to 106,435.50 and 177,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,435.50 : 177,385.50 = 177,385.50 : x
2. Step 2: Convert to fraction form
   106,435.50/177,385.50 = 177,385.50/x
3. Step 3: Cross multiply
   106,435.50x = 177,385.50 × 177,385.50
4. Step 4: Simplify right side
   106,435.50x = 31,465,615,610.25
5. Step 5: Solve for x
   x = 31,465,615,610.25/106,435.50
6. Step 6: Final answer
   x = 295,630.83