Finding the Third Proportional to 38,219.25 and 78,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,219.25 : 78,139.50 = 78,139.50 : x
2. Step 2: Convert to fraction form
   38,219.25/78,139.50 = 78,139.50/x
3. Step 3: Cross multiply
   38,219.25x = 78,139.50 × 78,139.50
4. Step 4: Simplify right side
   38,219.25x = 6,105,781,460.25
5. Step 5: Solve for x
   x = 6,105,781,460.25/38,219.25
6. Step 6: Final answer
   x = 159,756.71