Finding the Third Proportional to 290,223 and 448,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   290,223 : 448,468.50 = 448,468.50 : x
2. Step 2: Convert to fraction form
   290,223/448,468.50 = 448,468.50/x
3. Step 3: Cross multiply
   290,223x = 448,468.50 × 448,468.50
4. Step 4: Simplify right side
   290,223x = 201,123,995,492.25
5. Step 5: Solve for x
   x = 201,123,995,492.25/290,223
6. Step 6: Final answer
   x = 692,998.13