Finding the Third Proportional to 89,402 and 186,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,402 : 186,152.50 = 186,152.50 : x
2. Step 2: Convert to fraction form
   89,402/186,152.50 = 186,152.50/x
3. Step 3: Cross multiply
   89,402x = 186,152.50 × 186,152.50
4. Step 4: Simplify right side
   89,402x = 34,652,753,256.25
5. Step 5: Solve for x
   x = 34,652,753,256.25/89,402
6. Step 6: Final answer
   x = 387,606.02