Finding the Third Proportional to 35,055 and 78,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,055 : 78,889.50 = 78,889.50 : x
2. Step 2: Convert to fraction form
   35,055/78,889.50 = 78,889.50/x
3. Step 3: Cross multiply
   35,055x = 78,889.50 × 78,889.50
4. Step 4: Simplify right side
   35,055x = 6,223,553,210.25
5. Step 5: Solve for x
   x = 6,223,553,210.25/35,055
6. Step 6: Final answer
   x = 177,536.82