Finding the Third Proportional to 201,141 and 418,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,141 : 418,967.50 = 418,967.50 : x
2. Step 2: Convert to fraction form
   201,141/418,967.50 = 418,967.50/x
3. Step 3: Cross multiply
   201,141x = 418,967.50 × 418,967.50
4. Step 4: Simplify right side
   201,141x = 175,533,766,056.25
5. Step 5: Solve for x
   x = 175,533,766,056.25/201,141
6. Step 6: Final answer
   x = 872,690.13