Finding the Third Proportional to 185,961 and 402,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,961 : 402,823.50 = 402,823.50 : x
2. Step 2: Convert to fraction form
   185,961/402,823.50 = 402,823.50/x
3. Step 3: Cross multiply
   185,961x = 402,823.50 × 402,823.50
4. Step 4: Simplify right side
   185,961x = 162,266,772,152.25
5. Step 5: Solve for x
   x = 162,266,772,152.25/185,961
6. Step 6: Final answer
   x = 872,584.96