Finding the Third Proportional to 1,029,201 and 1,590,465

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029,201 : 1,590,465 = 1,590,465 : x
2. Step 2: Convert to fraction form
   1,029,201/1,590,465 = 1,590,465/x
3. Step 3: Cross multiply
   1,029,201x = 1,590,465 × 1,590,465
4. Step 4: Simplify right side
   1,029,201x = 2,529,578,916,225
5. Step 5: Solve for x
   x = 2,529,578,916,225/1,029,201
6. Step 6: Final answer
   x = 2,457,808.45