Finding the Third Proportional to 121,848 and 188,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,848 : 188,302.50 = 188,302.50 : x
2. Step 2: Convert to fraction form
   121,848/188,302.50 = 188,302.50/x
3. Step 3: Cross multiply
   121,848x = 188,302.50 × 188,302.50
4. Step 4: Simplify right side
   121,848x = 35,457,831,506.25
5. Step 5: Solve for x
   x = 35,457,831,506.25/121,848
6. Step 6: Final answer
   x = 291,000.52