Finding the Third Proportional to 205,326 and 307,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,326 : 307,153.50 = 307,153.50 : x
2. Step 2: Convert to fraction form
   205,326/307,153.50 = 307,153.50/x
3. Step 3: Cross multiply
   205,326x = 307,153.50 × 307,153.50
4. Step 4: Simplify right side
   205,326x = 94,343,272,562.25
5. Step 5: Solve for x
   x = 94,343,272,562.25/205,326
6. Step 6: Final answer
   x = 459,480.40