Finding the Third Proportional to 306,131.50 and 460,365

Step by Step Solution

1. Step 1: Write the proportion equation
   306,131.50 : 460,365 = 460,365 : x
2. Step 2: Convert to fraction form
   306,131.50/460,365 = 460,365/x
3. Step 3: Cross multiply
   306,131.50x = 460,365 × 460,365
4. Step 4: Simplify right side
   306,131.50x = 211,935,933,225
5. Step 5: Solve for x
   x = 211,935,933,225/306,131.50
6. Step 6: Final answer
   x = 692,303.58