Finding the Third Proportional to 133,563 and 205,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,563 : 205,384.50 = 205,384.50 : x
2. Step 2: Convert to fraction form
   133,563/205,384.50 = 205,384.50/x
3. Step 3: Cross multiply
   133,563x = 205,384.50 × 205,384.50
4. Step 4: Simplify right side
   133,563x = 42,182,792,840.25
5. Step 5: Solve for x
   x = 42,182,792,840.25/133,563
6. Step 6: Final answer
   x = 315,826.93