Finding the Third Proportional to 77,782 and 168,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,782 : 168,017.50 = 168,017.50 : x
2. Step 2: Convert to fraction form
   77,782/168,017.50 = 168,017.50/x
3. Step 3: Cross multiply
   77,782x = 168,017.50 × 168,017.50
4. Step 4: Simplify right side
   77,782x = 28,229,880,306.25
5. Step 5: Solve for x
   x = 28,229,880,306.25/77,782
6. Step 6: Final answer
   x = 362,935.90