Finding the Third Proportional to 147,780 and 216,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,780 : 216,427.50 = 216,427.50 : x
2. Step 2: Convert to fraction form
   147,780/216,427.50 = 216,427.50/x
3. Step 3: Cross multiply
   147,780x = 216,427.50 × 216,427.50
4. Step 4: Simplify right side
   147,780x = 46,840,862,756.25
5. Step 5: Solve for x
   x = 46,840,862,756.25/147,780
6. Step 6: Final answer
   x = 316,963.48