Finding the Third Proportional to 193,188 and 420,699.75

Step by Step Solution

1. Step 1: Write the proportion equation
   193,188 : 420,699.75 = 420,699.75 : x
2. Step 2: Convert to fraction form
   193,188/420,699.75 = 420,699.75/x
3. Step 3: Cross multiply
   193,188x = 420,699.75 × 420,699.75
4. Step 4: Simplify right side
   193,188x = 176,988,279,650.06
5. Step 5: Solve for x
   x = 176,988,279,650.06/193,188
6. Step 6: Final answer
   x = 916,145.31