Finding the Third Proportional to 175,761 and 414,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,761 : 414,733.50 = 414,733.50 : x
2. Step 2: Convert to fraction form
   175,761/414,733.50 = 414,733.50/x
3. Step 3: Cross multiply
   175,761x = 414,733.50 × 414,733.50
4. Step 4: Simplify right side
   175,761x = 172,003,876,022.25
5. Step 5: Solve for x
   x = 172,003,876,022.25/175,761
6. Step 6: Final answer
   x = 978,623.68