Finding the Third Proportional to 194,298 and 420,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,298 : 420,196.50 = 420,196.50 : x
2. Step 2: Convert to fraction form
   194,298/420,196.50 = 420,196.50/x
3. Step 3: Cross multiply
   194,298x = 420,196.50 × 420,196.50
4. Step 4: Simplify right side
   194,298x = 176,565,098,612.25
5. Step 5: Solve for x
   x = 176,565,098,612.25/194,298
6. Step 6: Final answer
   x = 908,733.48