Finding the Third Proportional to 95,643 and 208,051.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,643 : 208,051.50 = 208,051.50 : x
2. Step 2: Convert to fraction form
   95,643/208,051.50 = 208,051.50/x
3. Step 3: Cross multiply
   95,643x = 208,051.50 × 208,051.50
4. Step 4: Simplify right side
   95,643x = 43,285,426,652.25
5. Step 5: Solve for x
   x = 43,285,426,652.25/95,643
6. Step 6: Final answer
   x = 452,572.87