Finding the Third Proportional to 190,358 and 409,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,358 : 409,423.50 = 409,423.50 : x
2. Step 2: Convert to fraction form
   190,358/409,423.50 = 409,423.50/x
3. Step 3: Cross multiply
   190,358x = 409,423.50 × 409,423.50
4. Step 4: Simplify right side
   190,358x = 167,627,602,352.25
5. Step 5: Solve for x
   x = 167,627,602,352.25/190,358
6. Step 6: Final answer
   x = 880,591.32