Finding the Third Proportional to 78,534.50 and 185,370.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,534.50 : 185,370.50 = 185,370.50 : x
2. Step 2: Convert to fraction form
   78,534.50/185,370.50 = 185,370.50/x
3. Step 3: Cross multiply
   78,534.50x = 185,370.50 × 185,370.50
4. Step 4: Simplify right side
   78,534.50x = 34,362,222,270.25
5. Step 5: Solve for x
   x = 34,362,222,270.25/78,534.50
6. Step 6: Final answer
   x = 437,543.02