Finding the Third Proportional to 143,046 and 314,097.75

Step by Step Solution

1. Step 1: Write the proportion equation
   143,046 : 314,097.75 = 314,097.75 : x
2. Step 2: Convert to fraction form
   143,046/314,097.75 = 314,097.75/x
3. Step 3: Cross multiply
   143,046x = 314,097.75 × 314,097.75
4. Step 4: Simplify right side
   143,046x = 98,657,396,555.06
5. Step 5: Solve for x
   x = 98,657,396,555.06/143,046
6. Step 6: Final answer
   x = 689,690.01