Finding the Third Proportional to 141,624 and 210,510

Step by Step Solution

1. Step 1: Write the proportion equation
   141,624 : 210,510 = 210,510 : x
2. Step 2: Convert to fraction form
   141,624/210,510 = 210,510/x
3. Step 3: Cross multiply
   141,624x = 210,510 × 210,510
4. Step 4: Simplify right side
   141,624x = 44,314,460,100
5. Step 5: Solve for x
   x = 44,314,460,100/141,624
6. Step 6: Final answer
   x = 312,902.19