Finding the Third Proportional to 213,114 and 492,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,114 : 492,082.50 = 492,082.50 : x
2. Step 2: Convert to fraction form
   213,114/492,082.50 = 492,082.50/x
3. Step 3: Cross multiply
   213,114x = 492,082.50 × 492,082.50
4. Step 4: Simplify right side
   213,114x = 242,145,186,806.25
5. Step 5: Solve for x
   x = 242,145,186,806.25/213,114
6. Step 6: Final answer
   x = 1,136,223.74