Finding the Third Proportional to 300,210 and 456,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,210 : 456,501.50 = 456,501.50 : x
2. Step 2: Convert to fraction form
   300,210/456,501.50 = 456,501.50/x
3. Step 3: Cross multiply
   300,210x = 456,501.50 × 456,501.50
4. Step 4: Simplify right side
   300,210x = 208,393,619,502.25
5. Step 5: Solve for x
   x = 208,393,619,502.25/300,210
6. Step 6: Final answer
   x = 694,159.49