Finding the Third Proportional to 193,716 and 290,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,716 : 290,569.50 = 290,569.50 : x
2. Step 2: Convert to fraction form
   193,716/290,569.50 = 290,569.50/x
3. Step 3: Cross multiply
   193,716x = 290,569.50 × 290,569.50
4. Step 4: Simplify right side
   193,716x = 84,430,634,330.25
5. Step 5: Solve for x
   x = 84,430,634,330.25/193,716
6. Step 6: Final answer
   x = 435,847.50