Finding the Third Proportional to 58,320 and 120,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,320 : 120,784.50 = 120,784.50 : x
2. Step 2: Convert to fraction form
   58,320/120,784.50 = 120,784.50/x
3. Step 3: Cross multiply
   58,320x = 120,784.50 × 120,784.50
4. Step 4: Simplify right side
   58,320x = 14,588,895,440.25
5. Step 5: Solve for x
   x = 14,588,895,440.25/58,320
6. Step 6: Final answer
   x = 250,152.53