Finding the Third Proportional to 112,377 and 255,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,377 : 255,931.50 = 255,931.50 : x
2. Step 2: Convert to fraction form
   112,377/255,931.50 = 255,931.50/x
3. Step 3: Cross multiply
   112,377x = 255,931.50 × 255,931.50
4. Step 4: Simplify right side
   112,377x = 65,500,932,692.25
5. Step 5: Solve for x
   x = 65,500,932,692.25/112,377
6. Step 6: Final answer
   x = 582,867.78