Finding the Third Proportional to 306,480 and 460,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   306,480 : 460,138.50 = 460,138.50 : x
2. Step 2: Convert to fraction form
   306,480/460,138.50 = 460,138.50/x
3. Step 3: Cross multiply
   306,480x = 460,138.50 × 460,138.50
4. Step 4: Simplify right side
   306,480x = 211,727,439,182.25
5. Step 5: Solve for x
   x = 211,727,439,182.25/306,480
6. Step 6: Final answer
   x = 690,836.07