Finding the Third Proportional to 300,120 and 457,803.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,120 : 457,803.50 = 457,803.50 : x
2. Step 2: Convert to fraction form
   300,120/457,803.50 = 457,803.50/x
3. Step 3: Cross multiply
   300,120x = 457,803.50 × 457,803.50
4. Step 4: Simplify right side
   300,120x = 209,584,044,612.25
5. Step 5: Solve for x
   x = 209,584,044,612.25/300,120
6. Step 6: Final answer
   x = 698,334.15