Finding the Third Proportional to 143,526 and 314,412

Step by Step Solution

1. Step 1: Write the proportion equation
   143,526 : 314,412 = 314,412 : x
2. Step 2: Convert to fraction form
   143,526/314,412 = 314,412/x
3. Step 3: Cross multiply
   143,526x = 314,412 × 314,412
4. Step 4: Simplify right side
   143,526x = 98,854,905,744
5. Step 5: Solve for x
   x = 98,854,905,744/143,526
6. Step 6: Final answer
   x = 688,759.57