Finding the Third Proportional to 32,085 and 77,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,085 : 77,296.50 = 77,296.50 : x
2. Step 2: Convert to fraction form
   32,085/77,296.50 = 77,296.50/x
3. Step 3: Cross multiply
   32,085x = 77,296.50 × 77,296.50
4. Step 4: Simplify right side
   32,085x = 5,974,748,912.25
5. Step 5: Solve for x
   x = 5,974,748,912.25/32,085
6. Step 6: Final answer
   x = 186,216.27