Finding the Third Proportional to 132,213 and 204,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,213 : 204,151.50 = 204,151.50 : x
2. Step 2: Convert to fraction form
   132,213/204,151.50 = 204,151.50/x
3. Step 3: Cross multiply
   132,213x = 204,151.50 × 204,151.50
4. Step 4: Simplify right side
   132,213x = 41,677,834,952.25
5. Step 5: Solve for x
   x = 41,677,834,952.25/132,213
6. Step 6: Final answer
   x = 315,232.50