Finding the Third Proportional to 201,870 and 424,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,870 : 424,642.50 = 424,642.50 : x
2. Step 2: Convert to fraction form
   201,870/424,642.50 = 424,642.50/x
3. Step 3: Cross multiply
   201,870x = 424,642.50 × 424,642.50
4. Step 4: Simplify right side
   201,870x = 180,321,252,806.25
5. Step 5: Solve for x
   x = 180,321,252,806.25/201,870
6. Step 6: Final answer
   x = 893,254.34