Finding the Third Proportional to 175,781 and 364,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,781 : 364,023.50 = 364,023.50 : x
2. Step 2: Convert to fraction form
   175,781/364,023.50 = 364,023.50/x
3. Step 3: Cross multiply
   175,781x = 364,023.50 × 364,023.50
4. Step 4: Simplify right side
   175,781x = 132,513,108,552.25
5. Step 5: Solve for x
   x = 132,513,108,552.25/175,781
6. Step 6: Final answer
   x = 753,853.42