Finding the Third Proportional to 166,402 and 370,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,402 : 370,266.50 = 370,266.50 : x
2. Step 2: Convert to fraction form
   166,402/370,266.50 = 370,266.50/x
3. Step 3: Cross multiply
   166,402x = 370,266.50 × 370,266.50
4. Step 4: Simplify right side
   166,402x = 137,097,281,022.25
5. Step 5: Solve for x
   x = 137,097,281,022.25/166,402
6. Step 6: Final answer
   x = 823,892.03