Finding the Third Proportional to 781,316 and 1,584,364

Step by Step Solution

1. Step 1: Write the proportion equation
   781,316 : 1,584,364 = 1,584,364 : x
2. Step 2: Convert to fraction form
   781,316/1,584,364 = 1,584,364/x
3. Step 3: Cross multiply
   781,316x = 1,584,364 × 1,584,364
4. Step 4: Simplify right side
   781,316x = 2,510,209,284,496
5. Step 5: Solve for x
   x = 2,510,209,284,496/781,316
6. Step 6: Final answer
   x = 3,212,796.47