Finding the Third Proportional to 766,214 and 1,155,152

Step by Step Solution

1. Step 1: Write the proportion equation
   766,214 : 1,155,152 = 1,155,152 : x
2. Step 2: Convert to fraction form
   766,214/1,155,152 = 1,155,152/x
3. Step 3: Cross multiply
   766,214x = 1,155,152 × 1,155,152
4. Step 4: Simplify right side
   766,214x = 1,334,376,143,104
5. Step 5: Solve for x
   x = 1,334,376,143,104/766,214
6. Step 6: Final answer
   x = 1,741,518.87