Finding the Third Proportional to 304,394 and 473,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   304,394 : 473,165.50 = 473,165.50 : x
2. Step 2: Convert to fraction form
   304,394/473,165.50 = 473,165.50/x
3. Step 3: Cross multiply
   304,394x = 473,165.50 × 473,165.50
4. Step 4: Simplify right side
   304,394x = 223,885,590,390.25
5. Step 5: Solve for x
   x = 223,885,590,390.25/304,394
6. Step 6: Final answer
   x = 735,512.49