Finding the Third Proportional to 452,187 and 684,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   452,187 : 684,123.75 = 684,123.75 : x
2. Step 2: Convert to fraction form
   452,187/684,123.75 = 684,123.75/x
3. Step 3: Cross multiply
   452,187x = 684,123.75 × 684,123.75
4. Step 4: Simplify right side
   452,187x = 468,025,305,314.06
5. Step 5: Solve for x
   x = 468,025,305,314.06/452,187
6. Step 6: Final answer
   x = 1,035,026.01