Finding the Third Proportional to 100,055 and 177,925.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,055 : 177,925.50 = 177,925.50 : x
2. Step 2: Convert to fraction form
   100,055/177,925.50 = 177,925.50/x
3. Step 3: Cross multiply
   100,055x = 177,925.50 × 177,925.50
4. Step 4: Simplify right side
   100,055x = 31,657,483,550.25
5. Step 5: Solve for x
   x = 31,657,483,550.25/100,055
6. Step 6: Final answer
   x = 316,400.82