Finding the Third Proportional to 36,346.50 and 78,437.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,346.50 : 78,437.25 = 78,437.25 : x
2. Step 2: Convert to fraction form
   36,346.50/78,437.25 = 78,437.25/x
3. Step 3: Cross multiply
   36,346.50x = 78,437.25 × 78,437.25
4. Step 4: Simplify right side
   36,346.50x = 6,152,402,187.56
5. Step 5: Solve for x
   x = 6,152,402,187.56/36,346.50
6. Step 6: Final answer
   x = 169,270.83