Finding the Third Proportional to 77,784 and 170,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,784 : 170,146.50 = 170,146.50 : x
2. Step 2: Convert to fraction form
   77,784/170,146.50 = 170,146.50/x
3. Step 3: Cross multiply
   77,784x = 170,146.50 × 170,146.50
4. Step 4: Simplify right side
   77,784x = 28,949,831,462.25
5. Step 5: Solve for x
   x = 28,949,831,462.25/77,784
6. Step 6: Final answer
   x = 372,182.34