Finding the Third Proportional to 85,749.50 and 123,316.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,749.50 : 123,316.50 = 123,316.50 : x
2. Step 2: Convert to fraction form
   85,749.50/123,316.50 = 123,316.50/x
3. Step 3: Cross multiply
   85,749.50x = 123,316.50 × 123,316.50
4. Step 4: Simplify right side
   85,749.50x = 15,206,959,172.25
5. Step 5: Solve for x
   x = 15,206,959,172.25/85,749.50
6. Step 6: Final answer
   x = 177,341.67