Finding the Third Proportional to 32,806 and 78,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,806 : 78,734.50 = 78,734.50 : x
2. Step 2: Convert to fraction form
   32,806/78,734.50 = 78,734.50/x
3. Step 3: Cross multiply
   32,806x = 78,734.50 × 78,734.50
4. Step 4: Simplify right side
   32,806x = 6,199,121,490.25
5. Step 5: Solve for x
   x = 6,199,121,490.25/32,806
6. Step 6: Final answer
   x = 188,963.04